Analysis of Heat and Mass Transfer of Fractionalized MHD Second-Grade Fluid over Nonlinearly Moving Porous Plate

Abstract

This study investigates the heat and mass transfer in the MHD flow of fractionalized second-grade fluid induced by impulsively moved bottom porous plate with nonlinear velocity of the magnitude KTD. To acquire the fractionalized nondimensional set of flow administering differential equations, fractional calculus and dimensionless variables are considered. The solution process utilizes Laplace transform and results in the acquired outputs in terms of generalized functions. The exact solutions for concentration, temperature, velocity, and the shear stress are then reduced by certain limits into fractional/traditional second-grade and Newtonian fluids as per the special cases within and out of the magnetic and porous effects. It is observed that these special cases occur in the previous published literature which verify the results of this study. The results are pictorially visualized to perform the analysis for impacts of diverse physical parameters and dimensionless quantities on concentration, temperature, and velocity fields. It is learned from the analysis that magnitude of viscoelastic parameter is directly proportional to velocity whereas the porous and magmatic effects are inversely proportional. Increasing fractional parameter values reduce flow fields of velocity and temperature. Effects of dimensionless parameters for heat and mass transfer are analysed in detail.

Effect of natural heat convection on fractional MHD second-grade fluid in an infinite vertically oscillating cylinder with Hankel transform

“…The reversed action is observed for the increment in Eckert number. Fractional analysis of the second-grade fluid stimulated by the impulsively acted lowermost permeable plate reveals that the visco-elastic parameter is directly related to the fluid motion as compared to the porous and magnetic force [ 6 ]. Whereas, velocity and temperature fields are reduced by increasing the fractional parameter values.…”

The effect of uniform and exponential streams on Magnetohydrodynamic flows of viscous fluids.

“…The effect of uniform and exponential streams on MHD flows has been investigated extensively, and the presence of such streams can significantly alter the flow behavior of viscoelastic fluids in a channel, particularly with respect to the velocity profiles, shear stress, pressure drop, and heat transfer characteristics. Overall, the study of MHD flows of viscous fluids under different external forces is an active area of research with significant practical applications, and further research in this area is needed to advance our understanding of these complex flows [25][26][27].…”